The school colors are blue and yellow, so if amira wants to add yellow rectangles on the left and right sides of the blue rectangle. the yellow rectangles will each be 3/4 yard wide and the same height as the blue rectangle. what will be the total are of the two yellow rectangles?

I encountered this question before. It lacks pertinent information. 

Amira is painting a rectangular banner 2 ¼ yards wide on a wall in the cafeteria. The banner will have a blue background. Amira has enough blue paint to cover the 1 ½ square yards of wall.

a)      Find the height of the banner if Amira uses all of the blue paint. Show work.

b)      The school colors are blue and yellow, so if Amira wants to add yellow rectangles on the left and right sides of the blue rectangle. The yellow rectangles will each be 3/4 yard wide and the same height as the blue rectangle. What will be the total area of the two yellow rectangles?

Area of a rectangle = length * width

Area using the blue paint = 1 ½ square yards.

Height = 1 ½ square yards / 2 ¼ yards or  1.5 sq. yds / 2.25 yd = 0.666 yd or 2/3 yd

1 Yellow rectangle: width = ¾ yards ; length = 2/3 yards

Area of yellow rectangle = ¾ yds * 2/3 yds = 6/12 or ½ square yards

Area of the 2 yellow rectangles = ½ square yard * 2 = 1 square yard.

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step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for